Respuesta :
Given that area = length * width, where we know area and length. A simple division will do, x^2 + 2x - 15 / x + 5 = x - 3.
Answer:
The width will be [tex](x-3)\ inches.[/tex]
Step-by-step explanation:
Area of the sheet of cardboard [tex]=(x^2+2x-15)\ square\ inches[/tex]
Length of the sheet [tex]=(x+5)\ inches[/tex]
We know, [tex]Area = Length \times Width[/tex]
So, [tex]Width=\frac{Area}{Length}[/tex]
Thus....
[tex]Width=\frac{x^2+2x-15}{x+5}\\ \\ =\frac{x^2+5x-3x-15}{x+5} \\ \\ =\frac{x(x+5)-3(x+5)}{x+5}\\ \\ =\frac{(x+5)(x-3)}{x+5}=x-3[/tex]
So, the width will be [tex](x-3)\ inches.[/tex]
